Hi Roman,
First you need to have ABAP skills with CRM exposure or have someone like that in your team to achieve below
further, you can look below links
CRM Web UI: How-To define search criteria?
How to add an existing field to a search page of a different component - CRM - SCN Wiki
also below note might help you
1633403 - CHARM: Add search criterion 'Project ID' for searching pages
hope above helps
Regards
Prakhar